1294241760 has 384 divisors, whose sum is σ = 5233213440. Its totient is φ = 292626432.

The previous prime is 1294241749. The next prime is 1294241761. The reversal of 1294241760 is 671424921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1294241761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3840312 + ... + 3840648.

It is an arithmetic number, because the mean of its divisors is an integer number (13628160).

Almost surely, 2^1294241760 is an apocalyptic number.

1294241760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1294241760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2616606720).

1294241760 is an abundant number, since it is smaller than the sum of its proper divisors (3938971680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1294241760 is a wasteful number, since it uses less digits than its factorization.

1294241760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1294241760 is about 35975.5717119270. The cubic root of 1294241760 is about 1089.7790871775.

The spelling of 1294241760 in words is "one billion, two hundred ninety-four million, two hundred forty-one thousand, seven hundred sixty".